List of mathematical topics (S-U)

S

S matrix -- S-number -- S-plane -- Saccheri -- Saccheri, Giovanni Gerolamo -- Saddle point -- Sadleirian Chair -- Sainte-Laguë method -- Salamin-Brent algorithm -- Sample space -- The Sand Reckoner -- Saradha, K. -- Sarkovskii's theorem -- Satisfiability -- Sato, Mikio -- Sato-Tate conjecture -- Saturated model -- Saunderson, Nicolas -- Sawtooth wave -- Scalar -- Scalar curvature -- Scalar field -- Scalar multiplication -- Scalar potential -- Scale-free network -- Scheme -- Schinzel's hypothesis H -- Schläfli symbol -- Schneier -- Schneier, Bruce -- Schnirelmann -- Schnirelmann, L. G. -- Schnirelmann density -- Schnorr signature -- Scholz conjecture -- Schooten, Frans van -- Schröder, Ernst -- Schrödinger, Erwin -- Schrödinger equation -- Schrödinger method -- Schur complement -- Schur decomposition -- Schur's lemma -- Schur multiplier -- Schwartz, Laurent -- Schwarz lemma -- Schwinger, Julian -- Scientific notation -- Schwarzian derivative -- Schwarzschild black hole -- Schwarzschild metric -- Scott, Dana -- Scott continuous -- Scott domain -- Scottish Café -- Scytale -- Search algorithm -- Second-countable space -- Second derivative test -- Second fundamental form -- Sectional curvature -- Secant -- Secant method -- Second-order logic -- Second Hardy-Littlewood conjecture -- Sedenion -- Seifert-van Kampen theorem -- Selberg -- Selberg, Atle -- Self number -- Self-adjoint operator -- Self-similar -- Sellmeier equation -- Selten -- Selten, Reinhart -- Semantic network -- Semi-continuity -- Semidirect product -- Semigroup -- Semigroupoid -- Semilattice -- Semi-locally simply connected -- Semiperfect magic cube -- Semiperfect number -- Semiprime -- Semiprimitive ring -- Semiring -- Semisimple -- Semisimple ring -- Semivariance -- Senary -- Sensitivity -- Separability -- Separable -- Separable extension -- Separable polynomial -- Separated sets -- Separation axiom -- Separation of variables -- Septenary -- Sequence -- Series -- Serre -- Serre, Jean-Pierre -- Serre's multiplicity conjectures -- Set -- Set-builder notation -- Set-theoretic intersection -- see: Intersection (set theory) -- Set domain -- Set-theoretic union -- see: Union (set theory) -- Set theory -- Seven bridges of Königsberg -- Sexagesimal -- Sextant -- Sexy prime -- SHA-1 -- Shanks, Daniel -- Shannon, Claude E. -- Shannon capacity -- Shannon-Fano coding -- Shannon-Hartley law -- Shannon switching game -- Shannon limit -- Shape -- Shapley value -- Sharp-P -- Sharp-P-complete -- Sheaf -- Sheaf space -- Shear -- Sheffer sequence -- Sheffer stroke -- Shelah, Saharon -- Shelah cardinal -- Shell integration -- Shell sort -- Shift operator -- Shifting nth-root algorithm -- Shijie -- Shijie, Zhu -- Shimura, Goro -- Shooting method -- Shor's algorithm -- Short five lemma -- Short map -- Shortest path problem -- Significand -- Sierpinski carpet -- Sierpinski Curve -- Sierpinski gasket -- Sierpinski number -- Sierpinski number -- Sierpinski space -- Sierpinski, Waclaw -- Sieve of Eratosthenes -- SIGINT -- Sigma algebra -- Sigma function -- Sigma-algebra -- Sigma-compactness -- Sign convention -- Sign function -- Signature (mathematics) -- Signed number representations -- Significant figure -- Similarity (mathematics) -- Simple algebra -- Simple group -- Simple harmonic motion -- Simple Lie group -- Simple module -- A simple proof that 22/7 exceeds pi -- Simple theorems in the algebra of sets -- Simplex -- Simplex algorithm -- Simplicial approximation theorem -- Simplicial complex -- Simply connected -- Simply laced group -- Simpson's paradox -- Simpson's rule -- Simulated annealing -- Simulation preorder -- Simultaneity -- Simultaneous equations -- Simultaneous equation model -- sinc function -- Sine -- Sine wave -- Singer, Isadore -- Singleton -- Singular homology -- Singular Perturbation -- Singular-value decomposition -- Singular solution -- Singularity theory -- Sixth Term Entrance Paper -- Skein relation -- Skewes' number -- Skewness -- Skew-Hermitian matrix -- Skew-symmetric -- Skew-symmetric matrix -- Skolem, Thoralf -- Skolem-Noether theorem -- Skolem normal form -- Slater determinant -- Slide rule -- Sliding puzzle -- Slightly defective number -- Sloane -- Sloane, Neil -- Slope -- Smale -- Smale, Stephen -- Smale's paradox -- Small-angle formula -- Small circle -- Small number -- Small set -- Small world phenomenon -- Smash product -- Smith, Henry John Stephen -- Smith, John Maynard -- Smith numbers -- Smooth -- Smooth function -- Snake lemma -- Snell, Willebrord -- Snub cube -- Snub dodecahedron -- Soap film -- Sober space -- Sobolev, Sergei L'vovich -- Sobolev space -- Sociable number -- Social statistics -- Sokhotski, Yulian Vasilievich -- Soldner's constant -- Solenoidal -- Solid angle -- Solid geometry -- Solid of revolution -- Soliton -- Soliton (topological) -- Solution set -- Solomon, Gustave -- Solution point -- Solvable group -- Soma cube -- Somayaji, Nilakantha -- Somer-Lucas pseudoprime -- Sophie Germain prime -- Sorgenfrey plane -- Sort algorithm -- Soundness -- Soundness theorem -- Soviet Student Olympiads -- Space group -- Space-filling curve -- Space-like -- Space syntax -- Spacetime -- Spanning tree (network) -- Special linear group -- Special number field sieve -- Special orthogonal group -- Special unitary group -- Specificity -- Spectral density -- Spectral method -- Spectral radius -- Spectral space -- Spectral theorem -- Spectral theory -- Spectral width -- Spectrogram -- Spectrum of a ring -- Speed -- Sperner, Emmanuel -- Sperner family -- Sperner's lemma -- Sphere -- Sphere packing -- Sphere-world -- Spherical coordinate system -- Spherical geometry -- Spherical harmonic -- Spherical pendulum -- Spherical trigonometry -- Spheroid -- Spin network -- Spinor -- Spinor bundle -- Spinor group -- Spiral -- Michael Spivak -- Splay tree -- Spline -- Spline (mathematics) -- Split-complex number -- Splitting field -- Splitting lemma -- Spontaneous symmetry breaking -- Sporus of Nicaea -- Sprague-Grundy theorem -- Spreadsheet -- Sprouts (game) -- Square -- Square (algebra) -- Square (shape) -- Square-cube law -- Square number -- Square root -- Square root of two -- Square-free -- Square-integrable -- Square wave -- Squaring the circle -- Squaring the square -- Squeeze theorem -- Stabilizer subgroup -- Stable naming problem -- Stack -- Standard basis -- Standard deviation -- Standard score -- Standardized moment -- Saks, Stanislaw -- Stanley's reciprocity theorem Star-algebra -- Star height -- Star height problem -- Star polygon -- Stark-Heegner theorem -- State (functional analysis) -- Stationary point -- Statistical ensemble -- Statistical estimation -- Statistical hypothesis testing -- Statistical independence -- Statistical inference -- Statistical model -- Statistical regularity -- Statistical theory -- Statistics -- Steele Prize -- Stefan, Jožef -- Stefan's task -- Steganography -- Steiner, Jakob -- Steiner surface -- Steiner system -- Steiner tree -- Steinhaus, Hugo -- Steinhaus polygon notation -- Stellation -- Steradian -- Stereographic projection -- Stereometry -- Stevin, Simon -- Stewart,Matthew -- Stiefel manifold -- Stieltjes integral -- Stieltjes, Thomas Joannes -- Stifel, Michael -- Stimulus-response model -- Stirling, James -- Stirling number -- Stirling's approximation -- Stochastic -- Stochastic calculus -- Stochastic context-free grammar -- Stochastic matrix -- Stochastic process -- Stochastic programming -- Stochastic tunneling -- Stokes, George Gabriel -- Stokes' theorem -- Stone duality -- Stone, Marshall Harvey -- Stone's representation theorem for Boolean algebras -- Stone-Tukey theorem -- Stone-von Neumann theorem -- Stone-Weierstrass theorem -- Stoneham number -- Strähle's construction -- Strain tensor -- Straightedge -- Stratification (mathematics) -- Stream function -- Stress-strain curve -- Strict function -- String -- String theory -- String rewriting system -- Strong cardinal -- Strong coloring -- Strong Frobenius pseudoprime -- Strong Lucas pseudoprime -- Strong nuclear force -- Strong operator topology -- Strong pseudoprime -- Strong topology -- Strongly inaccessible cardinal -- Structural induction -- Studentized residual -- Student's t-distribution -- Sturm-Liouville theory -- Subadditive -- Subbase -- Subcategory -- Subclass -- Subcoloring -- Subfactorial -- Subfield (mathematics) -- Subgroup -- Subjective expected utility -- Submatrix -- Submersion -- Submodular function -- Subobject -- Subobject classifier -- Subring -- Subsemigroup -- Subsequence -- Subset -- A subset of R which is not Lebesgue measurable -- Subset sum problem -- Substitution ciphers -- Substitution matrix -- Substitution property of equality -- Substitution rule -- Substructural logic -- Subtangent -- Subtle cardinal -- Subtraction -- Successor function -- Successor cardinal -- Successor ordinal -- Sufficiency (statistics) -- Sufficiently large -- Sum -- Sum rule in differentiation -- Sum rule in integration -- Summarizing statistical data -- Summation by parts -- Summation methods -- see Divergent series -- Super ellipse -- Superabundant number -- Superadditive -- Superalgebra -- Supercompact cardinal -- Superconductivity -- Supergroup (physics) -- Superior highly composite number -- Supermodular function -- see Submodular function -- Super-Poulet number -- Supersingular prime -- Superstring theory -- Superstrong cardinal -- Supplementary angles -- Support Support -- Support vector machine -- Supremum -- Surd -- Surface -- Surface (physics) -- Surface area -- Surface integral -- Surface normal -- Surjective -- Surreal number -- Survivor function -- Suslin hypothesis -- Suslin's problem -- Swan's theorem -- Sylow, Peter Ludwig Mejdell -- Sylow theorem -- Sylvester, James Joseph -- Symbolic logic -- Symbolic mathematics -- Symbolic method of invariant theory -- Symmedian -- Symmedian point -- Symmetric algebra -- Symmetric difference -- Symmetric function -- Symmetric group -- Symmetric key algorithm -- Symmetric matrix -- Symmetric prime -- Symmetric property of equality -- Symmetric space -- Symmetric tensor -- Symmetry -- Symmetry group -- Symmetry of second derivatives -- Symplectic geometry -- Symplectic group -- Symplectic matrix -- Symplectic space -- Symplectic topology -- Symplectomorphism -- Synchrotron function -- Syntactic monoid -- Synthetic geometry -- System of linear equations -- Szego, Gabor -- Szeméredi's theorem --

T

T1 space -- Table of bases -- Table of derivatives -- Table of divisors -- Table of integrals -- Table of limits -- Table of mathematical symbols -- Table of prime factors -- Tabu search -- Tait's conjecture -- Takens' theorem -- Tally mark -- Tangent -- Tangent half-angle formula -- Tangent space -- Tangram -- Tangloids -- Taniyama, Yutaka -- Taniyama-Shimura theorem -- Tarjan, Robert -- Tarjan's off-line least common ancestor algorithm -- Tarski, Alfred -- Tarski monster group -- Tarski's circle-squaring problem -- Tartaglia, Niccolo Fontana -- Tate, John -- Taxicab number -- Taylor, Brook -- Taylor series -- Taylor's theorem -- Tchebysheff's theorem -- Teichmüller, Oswald -- Telescoping series -- Tensor -- Tensor derivative -- Tensor algebra -- Tensor field -- Tensor product -- Tensor product of fields -- Tensor product of R-algebras -- Term -- Term (mathematics) -- Ternary -- Terquem, Olry -- Tessellation -- Tesseract -- Tetrahedron -- Tetration -- Tetromino -- TeX -- Thales' theorem -- The Greeks -- The Nine Chapters on the Mathematical Art -- The Unreasonable Effectiveness of Mathematics in the Natural Sciences -- Theodolite -- Theorem -- Theorem-proving -- Theorema Egregium -- Theory of computation -- Theory of constraints -- Theory of equations -- Theta function -- Thermal history modelling -- Thirteen -- Thom -- Thom, Rene -- Thompson, John Griggs -- Thompson group (finite) -- Thompson groups -- Three cottage problem -- Three forms of mathematical induction -- Thue-Morse sequence -- Thurston elliptization conjecture -- Thurston, William -- Thurston's conjecture -- Tidal force -- Tietze extension theorem -- Tiling -- Time domain -- Time hierarchy theorem -- Time scale calculus -- Time value of money -- Timeline of mathematics -- Tits, Jacques -- Tits group -- Todd, John Arthur -- Todd class -- Todhunter, Isaac -- Toeplitz matrix -- Tomogram -- Tomonaga, Sin-Itiro -- Topological abelian group -- Topological dimension -- Topological group -- Topological ring -- Topological space -- Topological vector space -- Topologies on the set of operators on a Hilbert space -- Topologist's sine curve -- Topology -- Topology glossary -- Topology of the universe -- Topos -- Topos theory, background and genesis -- Torque -- Torricelli, Evangelista -- Torsion -- Torsion subgroup -- Torus -- Torus based cryptography -- Torus bundle -- Torus knot -- Total coloring -- Totally indescribable cardinal -- Total order -- Total preorder -- Totally real number field -- Total variation -- Total variation distance: see Total variation -- Touchard polynomial -- Tower of Hanoi -- Trace -- Trace class -- Trace (matrix) -- Trace of a matrix -- Traceability matrix -- Trachtenberg system -- Tractricoid -- Trajectory -- Transcendence basis -- Transcendence degree -- Transcendental curve -- Transcendental function -- Transcendental number -- Transformation -- Transitive closure -- Transitive property of equality -- Transitive relation -- Transitivity (mathematics) -- Transfer function -- Transfer principle -- Transfinite induction -- Transfinite number -- Transformation matrix -- Translation (geometry) -- Transport function -- Transpose -- Trapdoor function -- Trapdoor one-way function -- Trapezoid -- Trapezium -- Trapezium rule -- Traveling salesman problem -- Treap -- Tree (graph theory) -- Tree automaton -- Tree data structure -- Tree decomposition -- Tree rotation -- Tree search algorithm -- Trefoil knot -- Triangle (geometry) -- Triangle inequality -- Triangle wave -- Triangular number -- Triangular square number -- Triangulation -- Trichotomy -- Triclinic -- Tridiagonal matrix -- Trigonometric function -- Trigonometric identity -- Trigonometric integral -- Trigonometric polynomial -- Trigonometric rational function -- Trigonometric substitution -- Trigonometry -- Trigonometry in simple terms -- What is trigonometry used for? -- Trinification -- Tri-oval -- Trisecting the angle -- Trivial -- Trivial representation -- Trivial topology -- Truncated cube -- Truncated icosahedron -- Truncated icosidodecahedron -- Truncation -- Truth table -- Tschirnhaus, Ehrenfried Walter von -- Tschirnhaus transformation -- Tsirelson space -- Tsu Ch'ung-Chih -- Tucker, Albert W. -- Tukey, John -- Tuple calculus -- Turán graph -- Turán's theorem -- Turbulence -- Turing, Alan -- Turing complete -- Turing machine -- Turing machine simulator -- Turing tarpit -- Tutte, W. T. -- Twin paradox -- Twin prime -- Twin prime conjecture -- Twistor -- Two's complement -- Twofish encryption algorithm -- Tychonoff, Andrey Nikolayevich -- Tychonoff separation axioms -- Tychonoff space -- Tychonoff's theorem -- Typical set --

U

Ulam spiral -- Ulam, Stanislaw Marcin -- Ultrafilter -- Ultrafilter lemma -- Ultrafinitism -- Ultrametric space -- Ultraproduct -- Umbral calculus -- Unary numeral system -- Unary operation -- Uncertainty principle -- Uncorrelated -- Uncountable set -- Unexpected hanging paradox -- Unicity distance -- Unicoherent -- Unification -- Uniform absolute continuity -- Uniform boundedness principle -- Uniform continuity -- Uniform convergence -- Uniform distribution -- Uniform norm -- Uniform polyhedron -- Uniform space -- Uniform tessellation -- Uniformization theorem -- Uniformly continuous -- Unifying theories in mathematics -- Unimodular matrix -- Union (set theory) -- Unique factorization domain -- Unique prime -- Unit (ring theory) -- Unit ball -- Unit circle -- Unit disc -- Unit fraction -- Unit interval -- Unit square -- Unit tangent vector -- Unit vector -- Unital -- Unitary group -- Unitary matrix -- Unitary representation -- Universal algebra -- Universal C-star-algebra -- Universal enveloping algebra -- Universal gas equation -- Universal property -- Universal quantification -- Universe (mathematics) -- Unknot -- Unsigned Lah number -- Unsolved problems in mathematics -- Untouchable number -- Up to -- Upper bound -- Upper half plane -- Uqlidisi -- Urn problem -- Urysohn, Paul Samuilovich -- Urysohn's lemma -- Uses of trigonometry -- Utility --